Tracking with bistatic radar measurements is a challenging problem due to the nonlinear relationship between the radar measurements and the Cartesian coordinates, especially for long distances. This nonlinearity leads, for three-dimensional (3-D) bistatic radar, to a nonellipsoidal measurement uncertainty region in Cartesian coordinates, similar to a thin contact lens, that causes consistency problems for a tracking filter. A solution is proposed by developing an unbiased and statistically consistent conversion of the bistatic 3-D sine-space position measurements to Cartesian coordinates, based on second-order Taylor expansion. Such an approach was successfully used for monostatic radars but considered impractical for the bistatic case due to the difficulty to derive explicit conversion expressions, as done in this article. The recently developed 2-D approach for the bistatic case could not be successfully extended to 3-D and a different conversion was needed. It is shown that in contrast to the first-order conversion and the best nonlinear conversions (based on the cubature method), only the proposed conversion can cover the true uncertainty.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Unbiased Conversion of 3-D Bistatic Radar Measurements to Cartesian Position


    Contributors:


    Publication date :

    2023-04-01


    Size :

    1829188 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Bistatic-radar investigation

    Howard, H. T. / Tyler, G. L. | NTRS | 1972


    Book Reviews - Bistatic Radar

    Willis, N.J. | Online Contents | 2002


    Bistatic Synthetic-Aperture Radar

    Elachi, C. / Goldstein, R. / Held, D. | NTRS | 1985


    Bistatic radar [Book Review]

    Eskelinen, P. | IEEE | 2002

    Free access